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Finding the Fourth Proportional to 461,756.30, 692,703.69 and 162,184.07

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Solution

The fourth proportional to 461,756.30, 692,703.69 and 162,184.07 is: 243,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,756.30 : 692,703.69 = 162,184.07 : x
  2. Step 2: Convert to fraction form
    461,756.30/692,703.69 = 162,184.07/x
  3. Step 3: Cross multiply
    461,756.30x = 692,703.69 × 162,184.07
  4. Step 4: Simplify right side
    461,756.30x = 112,345,500,284.70
  5. Step 5: Solve for x
    x = 112,345,500,284.70/461,756.30
  6. Step 6: Final answer
    x = 243,300.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.